Sorry to hear of your loss. 9 years is young for a dog to die, they usually live on average of about 15 years. I still miss my little buddy that died in 2000. He was a chihuahua/musky mix and was named Dinky George Bot-bot (he responded happily to any of those names). He was my best little bud and died at 14. So I know how you feel. I still miss that little guy to this day. I still regret to this day that I was not there for him the day he took his final breath.
I know it seems hard to believe now, but eventually you will get another pet and you will love him/her just as much as you loved Jack. Remember the good times with Jack, put your best pic of him up on the wall and keep all the memories in your heart. That's what I did Dinky. I can't think of any better sentiment to give to such a great friend that brought you such happiness.
I'd wait a little while before getting another pet, it's only proper, but once you do get another pet, you will love the new one just as much as you did the old one. Personally, I waited about 8 years (much longer than I should have waited, to be honest) to get another pet.....I now have a little kitty (she's a very small breed and has an extra toe on all 4 paws) and she's the most adorable kitty...happy, playful and my brother and I are the only people in the world that she trusts....so precious. I'll never forget little Dinky (he may have been small, but he had the heart of a Wolf and I'll never forget that), but Spot (kitty's name) is my new little buddy and I love her just as much and will miss her just as much when she's gone. (cats have about the same lifespan of dogs)
Try to imagine Jack being in his "perfect place", where he is frolicking and playing and doing all the things he liked best. Content yourself with the feeling that you gave Jack all the love you could and know that he loved you too. It will bring you comfort in the long run.
As long as you keep Jack in your thoughts and memories, it will make you a better person. Use what you learned with Jack and apply that same love to any future pet you may get. They will respond in kind and you will have a whole new friend with all-new memories to keep with you forever.
Never feel embarrassed for the sorrow you are feeling now. You wouldn't be human if you didn't feel what you feel now. Just know that you can feel that love again. Pets are great life lessons.